The course gives an overview of the theory of partial differential equations (PDEs).
The course can be divided into two main parts. The first part treats the Laplace-, heat- and wave- equation whichrepresent model examples of linear elliptic, parabolic and hyperbolic PDEs. Furthermore, first-order non-linear problemsand explicit solution techniques (e.g. transform methods, fundamental solutions, Green's function, scale invariance) areconsidered. The second part of the course covers weak solutions for second-order equations. Sobolev spaces areintroduced and studied. The existence, uniqueness and regularity in these spaces is discussed and the properties ofsolutions is studied.
The information below is only for exchange students
Starts
28 August 2023
Ends
30 October 2023
Study location
Umeå
Language
English
Type of studies
Daytime,
50%
Required Knowledge
The course requires 90 ECTS of which 22,5 ECTS is within Mathematical Analysis including a course in Multivariable Calculus and Differential Equations minimum 7,5 ECTS and a course in Linear Algebra minimum 7,5 ECTS. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Selection
Students applying for courses within a double degree exchange agreement, within the departments own agreements will be given first priority. Then will - in turn - candidates within the departments own agreements, faculty agreements, central exchange agreements and other departmental agreements be selected.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Application code
UMU-A5835
Application
This application round is only intended for nominated exchange students. Information about deadlines can be found in the e-mail instruction that nominated students receive.
The application period is closed.
